Effect of linguistic framing and information provision on attitudes towards induced seismicity and seismicity regulation

Shale gas is an expanding energy source worldwide, yet ‘fracking’ remains controversial. Amongst public concerns is induced seismicity (tremors). The UK had the most stringent induced seismicity regulations in the world, prior to instating a moratorium on shale gas development. The Government cited induced seismicity as the key rationale for its November 2019 English moratorium. Yet, little is known about how the public perceives induced seismicity, whether they support regulatory change, or how framing and information provision affect perceptions. Across three waves of a longitudinal experimental UK survey (N = 2777; 1858; 1439), we tested whether framing of induced seismicity influences support for changing regulations. The surveys compared (1) quantitative versus qualitative framings, (2) information provision about regulatory limits in other countries and (3) seismicity from other industries, and (4) framing a seismic event as an ‘earthquake’ or something else. We find low support for changing current policy, and that framing and information provision made little difference to this. The one strong influence on perceptions of seismic events came from the type of activity causing the event; shale gas extraction clearly led to the most negative reactions. We discuss implications for future UK policy on shale gas and geothermal energy in an evolving energy landscape.


Literature review
Literature on social acceptance of energy production refers to interdependences between socio-political, market, and community acceptance 36,37 ; here, we stress the wider policy significance of societal perceptions on the underresearched topic of induced seismicity from hydraulic fracturing. The role of induced seismicity in leading to, or at least publicly justifying, the English moratorium on shale gas extraction verifies such relevance. These findings are highly relevant to government, industry, and environmental non-governmental organisations (including antishale-gas campaigners and groups interested in renewable energy, such as geothermal) as the UK Government continues its deliberation on future energy policy.
Public perceptions of induced seismicity. Within the last decade, researchers have begun to explore the differences in how members of the general public perceive and respond to induced seismic events [38][39][40][41][42][43] . Risk research has long established that the public perceives voluntary and involuntary risks differently, accepting, for example, much higher risks associated with skiing than similar magnitude health risks from environmental exposure to toxic chemicals 44 . This understanding was extended further to reveal the notable difference in public acceptability of naturally occurring hazards when compared with human-induced hazards 45 .
In Oklahoma, for example, the substantial increase in induced seismicity caused by injection of wastewater from oil and gas operations has caused mental health concerns 46 , increased risk perceptions about shale gas development 38 , and has appreciably reduced trust in government regulators 39,42 . McComas and colleagues 41 reveal that expert-driven processes around induced seismicity in New York (USA) are less acceptable to the www.nature.com/scientificreports/ public, compared to processes in which the public is afforded a role in deciding whether and how to implement the technology that caused the seismicity. Evidence has emerged that public opposition to industrial processes leading to the seismic events (e.g., enhanced geothermal systems) can stop projects from moving forward, but also that outreach programs have been able to reduce opposition 47 . McComas and colleagues' 41 experimental framing study, from the US, reveals not only that induced seismicity is perceived as more negative than the same seismicity from natural earth tremors, but also that when private companies benefit from the induced seismicity, this makes the seismicity less acceptable. Micro-seismic events can be caused by a large range of industrial processes, from surface and sub-surface mining to construction-anything that causes ground shaking. Vlek 48 and Ritchie and colleagues 42 point to the key role of trust in responsible experts and policy-makers, and perceived procedural fairness, in relation to induced seismicity from gas development in Groningen, The Netherlands, and wastewater injection in Oklahoma, USA, respectively. Liu and colleagues 49 reveal that two distinct forms of trust are both relevant for public acceptability of gas development that may cause induced seismicity; perceived integrity of responsible actors is even more important than competence-based trust.
Although research is beginning to scratch the surface of how the public interacts with induced seismicity, risk scholars have made a convincing case for the need for more social scientific and risk communication inquiry into public understanding and reactions 43 . They argue that only after knowing an audience's knowledge, associations, and needs can effective risk communication messages be produced. The way in which information is provided (e.g., numerical vs narrative 40 ), along with the strength and valence of existing views, trust in the information source, institutional relationships, and other factors shape how risk information is perceived and used 50 . Novel approaches to risk communication are seen as essential 48 , especially considering that an individual's own perceived knowledge insufficiency about induced seismicity has been shown to lead to risk information avoidance 51 . On the other hand, providing information does not always change risk perceptions or lead to policy supportindeed it may serve only to reinforce existing views and polarise opinion, particularly for contentious issues 52 .

Research design
Much previous research on how the public thinks about and responds to earthquakes has sought to identify ways of communicating with the public in an effort to make them more risk-aware and to actively encourage them to take protective adaptations to reduce risk of harm [53][54][55][56] . As such, previous studies on earthquake risk perceptions have mostly focused on low-probability high-consequence events 40 . Our research explicitly takes up the opposite form of induced seismicity, that of high-probability low-consequence events (i.e., unlikely to cause surface damage). In particular, we use an experimental design to test for the first time whether giving people a range of information about seismicity influences their support for policy changes associated with shale gas extraction.
Our first survey builds on research showing that how technical or numerical risk information is conveyed makes a difference for how induced seismicity is understood and responded to 40,57,58 . We compared a quantitative description of the difference between 0.5 and 1.5 M L with a narrative description in which we use analogy to convey the difference (see "Methods"). We sought to test narrative framing 59 because the public may not adequately understand the complexity of logarithmic values, even though Knoblauch and colleagues 40 showed in a Swiss sample that quantitative framing of seismicity risks was preferred. Figure 1 depicts our multi-stage investigations visually.
Our second wave of the longitudinal survey included experiments comparing support for changes in shale gas policy across conditions in which additional information was provided about regulations in other countries, and about effects of induced seismicity from other human activities. Rather than being informed based on theoretical or empirical literature, these wave 2 investigations arose from conversations with geoscience colleagues and members of the oil and gas industry we interacted with at professional meetings. When presenting our results from the first survey, they were incredulous that support for policy change was low and alleged that if people 'only knew' the additional information, they would naturally perform a volte-face.
In our third wave of the survey, we conducted another framing experiment, giving four different descriptions of ground movement-each to 25% of the sample: earthquake, tremor, micro-seismicity, and seismic event. We investigated differences in perceived negativity of the event, based on framing condition. For each respondent, we also examined their perceived negativity across different activities leading to the seismic event: shale gas extraction, deep geothermal operations, quarry blasting, and natural tectonic movements.
Our explicit research questions were: We initially surveyed a sample of 2,777 UK residents in April 2019-administered by the online panel provider YouGov and representative of the UK population based on age, sex, census region, social grade, education, vote in the 2017 general election, vote in the 2016 EU referendum, and attention paid to politics. This same sample was invited to a follow-up survey in June 2020, attracting 1,858 respondents (67% from wave 1). The respondents to wave 2 were invited to a third wave, run in May 2021, which had 1,439 respondents (52% from wave 1).

Results
Opposition to policy change. In wave 1, we provided explicit information in our survey that none of the tremors caused by hydraulic fracturing in the UK in 2018 caused damage, and that only two were strong enough to be felt by humans (see "Methods"). By wave 2, larger seismic events had occurred in association with shale gas development in the UK, and hydraulic fracturing had been halted. We then stated that 'tremors, of 2.1 and 2.9 M L , exceeded the government's allowed limit of 0.5 M L , and stopped operations temporarily' , and that this contributed to the English moratorium.
Our respondents provided a clear indication that they opposed changes to the UK induced seismicity limit. After reading the background information, wave 1 respondents, on average, slightly to moderately opposed an increase of allowable seismicity from 0.5 to 1.5 M L (Table 1). Respondents also perceived the 0.5 M L limit, on average, somewhere between 'somewhat loose' and 'about right' . Thirty-one percent of the sample replied 'don't know' to both of these questions. The leading predictor of 'don't know' responses was respondents also indicating that they read or heard 'nothing at all' about 'earth tremors linked to shale gas extraction' (66% for 'don't know' respondents, vs 31% for respondents who selected any other answer to the limit change; with 67% vs 31% for the stringency question).
We asked about support/opposition towards a policy change of increasing the limit for seismicity from 0.5 to 1.5 M L in our April 2019 (wave 1) survey, because this had been the explicit recommendation of numerous geoscientists in open letters in early 2019 4,60 . However, following the larger seismic events in August 2019 (2.1 and 2.9 M L ), we then asked about support for policy change increasing the limit from 0.5 to 2.7 in our June 2020 (wave 2) survey. We stated that 2.7 is 'the limit used in Switzerland and California (USA)' 61 . The wave 2 respondents, on average, slightly opposed the limit increase (Table 2). Likewise, they slightly opposed removing the moratorium on shale gas extraction that arose, at least in part, due to the seismic events. Table 1. Wave 1 survey: policy support across information conditions. a Five-point bipolar scale, with don't know (DK = 31%) (1 = Far too loosely, 2 = Somewhat loosely, 3 = About right, 4 = Somewhat stringently, 5 = Far too stringently). b Six-point bipolar scale, with don't know (DK = 31%) (1 = Strongly oppose, 2 = Moderately oppose, 3 = Slightly oppose, 4 = Slightly support, 5 = Moderately support, 6 = Strongly support). c Following ANOVA tests/, we ran Tukey post-hoc tests for differences between means of the two policy-relevant attitudes, across the four treatment conditions. Results revealed no significant differences. d See methods for text of qualitative and quantitative information provision. www.nature.com/scientificreports/

Effects of information provision and framing.
The lack of significant differences in any of the ANOVA post-hoc tests in Tables 1 and 2 suggests that 'information deficit' explanations for opposition to policy changes surrounding induced seismicity lack credibility and nuance 62 . Providing additional qualitative information, quantitative information, or both forms of information, led to no differences from the control group that received none of this information in wave 1 (see "Methods"). Likewise in wave 2, additional information on regulatory limits that are far higher in jurisdictions other than the UK, and information about other activities that lead to similar ground shaking as induced seismicity from shale gas, led to no difference in support for policy change from the control group that did not receive any of that information (see "Methods"). This raises the question of which factors did influence support for, or opposition to, policy change on induced seismicity.
Why was policy change opposed? Various factors affected support for changing the traffic light limit in survey waves 1 and 2 (Table 3). Clearly, the two most important predictors in both models are the response to how negative respondents would perceive an earthquake that could be felt but that caused no damage, and beliefs about procedural justice (the extent to which the public needs a voice in decisions on energy projects)-higher negativity and higher importance of public voice increase opposition. In both models, beliefs about the likelihood of tremors causing damage at the surface were also important predictors of opposition, and self-reported knowledge of induced seismicity was irrelevant (non-significant; wave 1) or a very minor influence (wave 2). Because seismicity measurement is a mathematical concept, we included measures of 'numeracy' . We operationalised numeracy-literacy with numbers-according to established scales for objective numeracy (how good people are with numbers) and subjective numeracy (how good people think they are with numbers) [63][64][65] . In wave 2, respondents who thought they were good with numbers supported policy change, whereas those who were objectively good with numbers were more opposed to policy change.
An additional change from wave 1 to wave 2 is that perceived seriousness of climate change (an average of perceived seriousness to: you and your family, the UK as a whole, people in developing nations, and wildlife and ecosystems) became significant in wave 2. This may relate to the increased public attention to climate change between April 2019 and June 2020. The overall model effect size (R 2 -the percentage variance in the dependent variable explained by the group of independent variables) doubled from 31% to 63% from wave 1 to wave 2.
Arguably, there is very low probability of any structural damage at the surface from induced seismicity due to shale gas extraction 6,8 ; nevertheless, 59% responded that this is somewhat likely or very likely in wave 1, and 68% so responded in wave 2. This belief was significant in both regressions (Table 3)-more perceived likelihood of damage increases opposition to policy change. Nevertheless, perceived negativity of an earthquake that causes no damage was the most predictive variable of opposition to policy change in both models. Therefore, it is not merely misconceptions about the effects of induced seismicity that shapes public views-those misconceptions do influence the model results, but to a lesser extent, particularly in wave 2 when the importance of perceived negativity of non-damaging earth tremors and climate change severity increased in their predictive capacity (see beta coefficients in Table 3).
A further factor that might influence support for policy change is geospatial distribution of respondents. Although UK census region (12 broad regions covering the UK) was not a significant predictor in the regressions, and other means of aggregating spatial areas (e.g., local authority level) did not offer sufficient sample sizes for determining statistical significance, a visual representation of survey responses across political constituencies (with some aggregated) reveals patterns. Figure 2 (see "Methods" for data aggregation) displays a general pattern of stronger support for policy change in the north of England, compared to the south, which is more opposed. In April 2019, there were far more prospects for and discussion of shale gas extraction happening in Northern England than in Southern England. Nevertheless, no region represented has a maximum value over 3.8 on the Table 3. Factors predicting support for changing the limit of seismicity allowed for shale gas extraction (linear regressions). NB: Numbers in the cells are standardised beta coefficients. A positive coefficient indicates the variable associates with increased support for the policy change. Bold coefficients are statistically significant at p < 0.05. With one asterisk (*), p < 0.01; with two asterisks (**), p < 0.001. Independent variables measuring objective numeracy, subjective numeracy, and need for public voice come from wave 1 (April 2019) for both regressions; the other six independent variables were measured in both surveys. Differences across activities generating induced seismicity. The wave 1 and wave 2 surveys offer an understanding of attitudes and beliefs that shape support/opposition towards policy changes relevant to induced seismicity, and convincingly demonstrate very little role for framing or information provision in influencing such support/opposition. In our wave 3 survey, we explored one final framing condition-if the way the event was described affected perceived negativity to induced seismicity, and if that perceived negativity varied across causes of events. Some small differences emerged for the framing test. For the questions about seismicity from 'deep geothermal operations' or 'quarry blasting' , induced seismicity was viewed as more negative when framed as an 'earthquake' , as opposed to 'micro-seismicity' or a 'tremor' (Table 4). Nevertheless, for 'shale gas operations' and 'natural movements of the earth's tectonic plates' , no significant differences existed across any of the four framing conditions. Furthermore, the significant differences only became manifest when the geothermal and quarry blasting events were described as being felt; for unfelt events, framing condition was non-significant across all four activities leading to seismicity.
Of all our comparisons, we observed by far the largest differences in the perceived negativity of the event when comparing across different types of activities leading to induced seismicity. On average (combining all framing conditions), hypothetical events from shale gas operations that one could feel but that did not cause damage were rated as 7.55 on a scale of 0 (not at all negative) to 10 (very negative). The exact same description of the event, but caused by 'quarry blasting or similar industrial processes' was rated 7.05; for deep geothermal operations, it was 6.80. All respondents were presented with questions on perceived negativity for the three activities, and also natural tectonic movements-mean of 5.08.
A repeated-measures ANOVA test, comparing views on the four different causes of seismicity by the same respondent, had a very large eta 2 (effect size) value of 0.26. If removing the outlier of the natural tectonic movements, the eta 2 was still moderately strong at 0.07-showing that the exact same seismic event is viewed significantly more negatively when arising from shale gas operations as opposed to being from other causes, both anthropogenic and natural. Geothermal-induced events were notably less negative than shale gas operations and quarry blasting (all four items differed significantly at p < 0.001), but their mean perceived negativity was also clearly closer to the other induced events than to the natural tectonic movements (Table 4). www.nature.com/scientificreports/

Discussion
Implications for policy and communication. The core messages from our data are clear: the cause of a seismic event is a strong influence on perceived negativity of the event, and perceived negativity is then a leading predictor of support/opposition towards policy change. The explanatory power of this predictor notably increased over time from our wave 1 survey to wave 2. Furthermore, there is little support for any policy change in relation to regulation of induced seismicity for shale gas extraction in the UK. Perhaps the most interesting question arising from the research reported herein is what our findings presage for activities such as deep geothermal operations. Although perceived negativity of geothermal-induced seismicity was significantly lower than for shale gas-induced seismicity, and with moderate effect size, geothermal seismicity was still seen as substantially more negative than natural tectonic movements leading to the same event.
Although we are not aware of any research on perceptions of induced seismicity in relation to compressed air storage, sub-surface hydrogen storage, or carbon capture and storage, one might speculate at best similar negativity to geothermal, especially considering likely less perceived benefit from less 'green' technologies. Research in Switzerland revealed induced seismicity risk perceptions as the leading variable predicting (lack of) acceptance of deep geothermal energy 66 .
Policy change, nevertheless, may not be necessary for deep geothermal operations to advance in the UK. Regulation of geothermal seismicity occurs at the local authority level in the UK (as opposed to the national level) and uses peak ground velocity (PGV) during an earthquake as the measure for the ground shaking. PGV correlates well with seismic intensity 67 and damage from the small, shallow earthquakes caused by geothermal operations [68][69][70] . In Cornwall, where the March 2022 geothermal-induced 1.7 M L event occurred, the maximum PGV permitted is 8.5 mm per second 71 . In contrast, the 2.9 M L event in August 2019, the highest ever UK tremor during the shale gas operations, recorded a PGV of about 8.2 mm/s 72,73 -below the limit set for geothermal operations in Cornwall. This suggests legitimate potential for deep geothermal to move forward. Less hydraulic fracturing is needed for enhanced deep geothermal than for shale gas, and no policy change seems required.
For people interested in the future of geothermal as a renewable energy industry in the UK, the lack of a need for policy change is quite advantageous-considering that our repeated efforts at finding any framing conditions or information provision that could influence support for policy change came up mostly empty-handed. Across the framing conditions and information presented in the three surveys, the only (minor) effect was seen in the language of 'earthquake' leading to slightly more negative evaluations, compared to 'micro-seismicity' and 'tremor' (but 'seismic event' did not differ from any of the other three).
As demonstrated by McComas and colleagues 41 , tolerance for any induced seismicity (i.e., a change in natural processes) can be quite low if few perceived benefits to society are seen as accruing from the practice, and it is being conducted by a corporate actor with little trust. Twelve percent in our survey (wave 1) reported trusting the shale gas industry 'a fair amount' or 'a great deal' , whilst 40% 'do not trust at all' industry actors (9% trust and 46% no trust for wave 2). No clear data exist on trust in the UK geothermal industry, but we would hypothesise that public trust is considerably higher than in the shale gas industry, and that perceived benefits from, and general positivity towards, geothermal development are also higher [74][75][76] . Future research could explore in greater detail what the public know about deep geothermal, their associations with seismicity, their trust in key actors, and how these affect acceptance of this form of energy development.
Future of shale gas in the UK. Despite the aforementioned industry calls for reconsideration of shale gas extraction, we do not foresee a role for shale gas in the UK's energy future. Bradshaw 14 convincingly explains that the timeline to commercial production is too long for shale gas to help with supply issues in the short term; in the long term, expanded gas production conflicts too notably with net-zero targets. Furthermore, initial indications suggest that even with Russian supply concerns, MPs (including Conservatives) in areas with shale gas potential are not coming out in favour of renewed exploration 77 . Any attempts to change the policy landscape to make Table 4. Wave 3 survey: perceived negativity of seismicity of events, based on framing and cause of the event. 1 All items in this table were measured on an eleven-point scale, 0 = not at all negative, 10 = very negative. 2 Within a given row, superscript letters denote values that differ from each other significantly, based on Tukey post-hoc tests for differences between means, following an ANOVA. If the letter is the same, those mean values do not differ. If a row has no superscript letters, there are no significant differences amongst the four means for that item. www.nature.com/scientificreports/ hydraulic fracturing viable by increasing the seismicity limit would likely be met with stark resistance. Protests in relation to shale gas extraction are common in the UK, and discourse about UK decision making on shale gas suffering from democratic deficits has been increasingly common 11,[78][79][80][81] . Furthermore, climate change protests and demonstrations have substantially expanded in the UK since 2019, and shale gas is tied increasingly to its implications for global carbon emissions. The role of climate change beliefs in influencing policy support became important in our wave 2 survey. One might argue that communication efforts to influence public opinion could be undertaken in advance of any policy change. Leaving aside that such communication seeking to change attitudes is extremely difficult 82 and that attitudes towards shale gas extraction have only shifted slightly over ten years 18,83 , our data reveal further reasons to question the success of such efforts. Framing and information provision had little to no effect on support for policy change or perceived negativity of induced seismicity. One explanation for lack of effect of communication on attitudes could be that attitudes are well-established already, not only from exposure to news on shale gas extraction, but in some areas of the UK perhaps due to exposure to induced seismicity from historical processes such as coal mining (last seismic event in 2014) and quarry blasting.
Perceived negativity of hypothetical non-damaging seismic events was the lead predictor of support/opposition towards policy change. People in the UK are opposed to the existence of the seismic events, not primarily to their effects. This is consonant with McComas and colleagues 41 , showing lack of support for 'unnatural' events especially if there is little perceived social benefit, and Ritchie and colleagues 42 , showing the connections between withdrawn trust and opposition to industrial operations. Research further shows that factual beliefs about shale gas development may stem from negative attitudes towards shale gas, rather than the beliefs fostering such attitudes 84 . Even if factual beliefs about prospects for damage from induced seismic events could be changed 85 , it would not likely translate to meaningful shifts in support for new policies.

Methods
UK context. From mid-October 2018 through January 2019, hydraulic fracturing at a single shale gas well in Lancashire, England, led to detection of over 60 micro-seismic events, registering from -0.8 to 1.5 M L , with two of these reported as being felt by a few members of the local public (1.1 and 1.5 M L ) 6,8,72 . The UK Oil and Gas Authority (OGA; now called the North Sea Transition Authority) was established in 2015 as the regulator for the UK oil and gas industry. It adopted a 'traffic light system' , which requires that if a seismic event of 0.5 M L or higher occurs in the vicinity of a gas well during hydraulic fracturing 86 , the operator 'must immediately suspend injection, reduce pressure and monitor seismicity for further events' 87 . This threshold has been exceeded multiple times, leading to suspension of operations for at least 18 hours in each instance.
Controversy arose in the UK in 2018-2019 over whether the low threshold for suspension of operations under the traffic light system should be raised or not. Leading seismologists from the British Geological Survey also entered the debate, noting that 0.5 M L is a 'really quite conservative' threshold and lower than required to prevent harm to humans or built structures 60 . They contended that 1.5 M L would still be conservative. Repeated articles in major national news media outlets covered the debate over the traffic light system as well as occurrences of several individual micro-seismic events. It was in this context of societal attention to hydraulic-fracturinginduced seismicity that we began our research.
Survey design, implementation, and analysis. We expected few survey respondents to have any background on induced seismicity in association with shale gas extraction. In the wave 1 survey, after three initial questions about perceptions of the likelihood of tremors due to shale gas extraction, self-assessed knowledge on the topic, and level of negativity towards hypothetical tremors, we provided all respondents with the following two paragraphs of information: Recent observations by the British Geological Survey (BGS) have linked 'induced micro-seismicity' (small earth tremors that are mostly not felt by humans) to shale gas extraction. About sixty such tremors occurred at a shale gas extraction site in Lancashire between October and December 2018. Only two tremors were strong enough to be felt by humans; none caused damage at the surface. The UK's Oil and Gas Authority has a 'traffic light system' in place that requires hydraulic fracturing to be paused for 18 hours if a tremor of 0.5 magnitude or higher is recorded. This happened several times at the well site. Some scientists have recently written an open letter stating their view that the magnitude at which fracturing is paused can safely be raised from 0.5 to 1.5.
In addition to information provided to all respondents, sub-samples received further information about induced seismicity. We provided different messages to random samples of the respondents taking our survey (25% of the sample in each condition). In the first condition, we provided only the general background above. In the second condition, we used the same language, save adding a quantitative explanation of M L : Because seismic magnitude is measured logarithmically, the largest tremor in 2018 (1.5 magnitude) is 316 times smaller than the level at which a tremor would cause structural damage at the surface (4.0 magnitude).
In the third condition, we added to the background qualitative descriptions of events to which a 1.5 M L event is similar (generated through conversation with seismologists at the BGS): www.nature.com/scientificreports/ In the fourth condition, we included the additional wording of both the second and third conditions. In the wave 2 survey (June 2020), after responding again to the initial questions about perceived likelihood of damage from tremors, self-reported knowledge of earth tremors due to shale gas development, and negativity of induced seismicity, we provided all respondents with the following text: In August 2019, two seismic tremors occurred at a shale gas well in Lancashire, due to use of hydraulic fracturing. These tremors, of 2.1 and 2.9 magnitude, exceeded the government's allowed limit of 0.5 magnitude, and stopped operations temporarily. In November 2019, the UK Government placed a moratorium (temporary ban) on use of hydraulic fracturing in England due in part to questions over whether seismic tremors can be appropriately managed.
Our message testing experiment then examined whether provision of additional further information would affect support for policy changes. The first condition included the following further text: Prior to the moratorium, the English threshold of limiting allowed seismicity from hydraulic fracturing to 0.5 magnitude was more stringent than in other regions. For example, the limit is set at 2.7 in both California (USA) and Switzerland, and 4.0 in Alberta and British Columbia (Canada) and in Illinois (USA).
The second condition added the following text to the wave 2 background: The largest seismic tremors from the August 2019 hydraulic fracturing were felt by a few individuals local to the well site. The ground vibrations associated with these tremors are similar to those experienced on average a few times annually in the UK from other types of industrial activity, such as coal mining and quarry blasting.
The third condition, the control, included only the initial text. The third survey wave (May 2021) asked a series of eight questions to each respondent about perceived negativity of induced seismicity. The first four questions asked about events 'in your local areas' that 'you could feel' , but that 'caused no damage' . The four questions were identical, except that the cause of the event changed in each: • Shale gas extraction • Deep geothermal operations (drawing renewable heat from rocks far underground) • Quarry blasting or similar industrial processes that occur above ground • Natural movements of the earth's tectonic plates Additionally, the event was described differently for different respondents. Twenty-five percent of the sample was randomly assigned to each condition: 'an earthquake' , 'a tremor' , 'micro-seismicity' , and 'a seismic event' . The second four questions were the same as the first, with the framing of the event consistent for each respondent. The only difference was that the event was explicitly described as 'minor' , and still did not cause damage, but now could not be felt.
For data analysis of the survey results, we employed analysis of variance (ANOVA) tests with post-hoc comparisons to compare means on support for policy changes in wave 1 and wave 2. The policy support variables were treated as linear, which meant excluding 'don't know' responses as missing data. The factor variables in the ANOVAs were the aforementioned information provision categories. We then conducted linear regressions to assess relative influence of various attitudes and beliefs on support/opposition towards changing the induced seismicity limit. For the wave 3 survey data, ANOVAs were used to examine for differences in mean perceived negativity across the framing conditions within each of the eight negativity questions. Then a repeated measures ANOVA was used for examining within-subjects differences across each given individual's responses to the four different causes of seismic events.
Human subjects approval for the survey research was granted by the Ethics Committees of the School of Social and Political Sciences at the University of Edinburgh and the Geography department at the University of Exeter. Informed consent was obtained from all research participants. All methods were performed in accordance with the relevant guidelines and regulations. Spatial analysis. For the vast majority of respondents, YouGov provided the first four digits of their postcode, allowing individual responses to be georeferenced to approximately a kilometre accuracy using UK postcodes 88 . The distribution of respondents across the UK alongside shale-associated sites is displayed in Fig. 3.
Raw data were too sparse to map by themselves, or for spatial interpolation algorithms, therefore respondents were aggregated using polygon boundaries defining political constituencies. Within the UK, there are 650 constituencies that are for the most part conveniently defined around population density. Nonetheless, for some parts of the survey area constituency boundaries were too small to provide enough statistical accuracy to present a clear spatial pattern across the UK. Higher statistical certainty was achieved by dissolving some of the constituencies, notably those in rural areas in Scotland and Wales into larger regions using a nearest neighbour algorithm to obtain a minimum of 15 respondents within each polygon. Naturally, this process lead to a degree of spatial resolution loss in these areas, but we deemed it necessary to gain a more robust insight into spatial patterns. After applying the algorithm, 151 polygons were used to calculate the mean and standard deviation for all respondents contained within bounding polygons. www.nature.com/scientificreports/

Data availability
The datasets used and analysed during the current study are available from the corresponding author upon reasonable request.